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arXiv · 2103.11985

Variance of voltages in a lattice Coulomb gas

Diana Conache·Markus Heydenreich·Franz Merkl·Silke W. W. Rolles
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Abstract

We study the behavior of the variance of the difference of energies for putting an additional electric unit charge at two different locations in the two-dimensional lattice Coulomb gas in the high-temperature regime. For this, we exploit the duality between this model and a discrete Gaussian model. Our estimates follow from a spontaneous symmetry breaking in the latter model.

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Diana Conache, Markus Heydenreich, Franz Merkl, Silke W. W. Rolles. 2021-03-22. Variance of voltages in a lattice Coulomb gas. https://doi.org/10.1007/s10955-021-02857-4

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